495480 has 32 divisors (see below), whose sum is σ = 1486800. Its totient is φ = 132096.

The previous prime is 495461. The next prime is 495491. The reversal of 495480 is 84594.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1945 + ... + 2184.

2⁴⁹⁵⁴⁸⁰ is an apocalyptic number.

495480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495480 is an abundant number, since it is smaller than the sum of its proper divisors (991320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495480 is a wasteful number, since it uses less digits than its factorization.

495480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 495480 is about 703.9034024637. The cubic root of 495480 is about 79.1301598376.

Adding to 495480 its sum of digits (30), we get a triangular number (495510 = T₉₉₅).

The spelling of 495480 in words is "four hundred ninety-five thousand, four hundred eighty".